cosa=2/3,a是第四象限角,则sin(a-2∏)+sin(-a-3∏)cos(a-3∏)=

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cosa=2/3,a是第四象限角,则sin(a-2∏)+sin(-a-3∏)cos(a-3∏)=
cosa=2/3,a是第四象限角,则sin(a-2∏)+sin(-a-3∏)cos(a-3∏)=

cosa=2/3,a是第四象限角,则sin(a-2∏)+sin(-a-3∏)cos(a-3∏)=
2kπ-π/2<a<2kπ
sin(a-2π)+sin(-a-3π)cos(a-3π)=sina+sin(-a-π)cos(a-π)
=sina-sin(a+π)cos(π-a)
=sina-sinacosa
=sina(1-cosa)
=(1/3)sina
=-(1/3)√(1-cosa^2)
=-(1/3)√(5/9)
=-(1/9)√5

若cosa=2/3,a是第四象限角
sina = -√(1 - cos²a) = -√5/3
sin(a - 2π) + sin(-a - 3π)cos(a - 3π)
= -sin(2π - a) - sin(3π+ a)cos(3π - a)
= sina - (-sina)*(-cosa)
= sina - sina*cosa
= sina(1- cosa)
= -√5/3(1-2/3)
= -√5/3 × 1/3
= -√5/9